Finding the Third Proportional to 39,759 and 59,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,759 : 59,638.50 = 59,638.50 : x
2. Step 2: Convert to fraction form
   39,759/59,638.50 = 59,638.50/x
3. Step 3: Cross multiply
   39,759x = 59,638.50 × 59,638.50
4. Step 4: Simplify right side
   39,759x = 3,556,750,682.25
5. Step 5: Solve for x
   x = 3,556,750,682.25/39,759
6. Step 6: Final answer
   x = 89,457.75